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DCフィールド | 値 | 言語 |
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dc.contributor.author | Fukushima, Shota | en |
dc.contributor.alternative | 福嶌, 翔太 | ja |
dc.date.accessioned | 2023-05-31T05:59:46Z | - |
dc.date.available | 2023-05-31T05:59:46Z | - |
dc.date.issued | 2023-01 | - |
dc.identifier.uri | http://hdl.handle.net/2433/283033 | - |
dc.description.abstract | We construct fundamental solutions to Schröidinger equations on compact Riemannian manifolds. We employ a time-slicing approximation, which is a mathematically rigorous method of defining the Feynman path integral. Our time-slicing approximation converges to a fundamental solution to the Schröidinger equation modified by the scalar curvature. The coefficient of the scalar curvature in the modified Schröidinger equation depends on the choice of the amplitude which appears in the definition of the time-slicing approximation. | en |
dc.language.iso | eng | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject.ndc | 410 | - |
dc.title | Construction of fundamental solutions to Schröidinger equations on compact manifolds by Feynman path integral methods (Spectral and Scattering Theory and Related Topics) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2241 | - |
dc.identifier.spage | 76 | - |
dc.identifier.epage | 86 | - |
dc.textversion | publisher | - |
dc.sortkey | 07 | - |
dc.address | Graduate School of Mathematical Sciences, The University of Tokyo; Currently: Department of Mathematics and Institute of Applied Mathematics, Inha University | en |
dcterms.accessRights | open access | - |
dc.identifier.pissn | 1880-2818 | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2241 スペクトル・散乱理論とその周辺 |
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